Direct Cosmological Simulations of the Growth of Black Holes and Galaxies

We investigate the coupled formation and evolution of galaxies and their embedded supermassive black holes using state-of-the-art hydrodynamic simulations of cosmological structure formation. For the first time, we self-consistently follow the dark matter dynamics, radiative gas cooling, and star formation, as well as BH growth and associated feedback processes, starting directly from initial conditions appropriate for the ΛCDM cosmology. Our modeling of the black hole physics is based on an approach that we have developed in simulations of isolated galaxy mergers. Here we examine (1) the predicted global history of BH mass assembly, (2) the evolution of the local black hole-host mass correlations, and (3) the conditions that allow rapid growth of the first quasars, and the properties of their hosts and descendants today. We find a total BH mass density in good agreement with observational estimates. The BH accretion rate density peaks at lower redshift and evolves more strongly at high redshift than the star formation rate density, but the ratio of black hole to stellar mass density shows only a moderate evolution at low redshifts. We find strong correlations between BH masses and properties of the stellar systems, agreeing well with the measured local -->MBH-σ and -->MBH- -->M* relationships, but also suggesting (dependent on the mass range) a weak evolution with redshift in the normalization and the slope. Our simulations also produce massive black holes at high redshift, due to extended periods of exponential growth in regions that collapse early and exhibit strong gas inflows. These first supermassive BH systems, however, are not necessarily the most massive ones today, since they are often overtaken in growth by quasars that form later.

[1]  F. Hoyle,et al.  The effect of interstellar matter on climatic variation , 1939, Mathematical Proceedings of the Cambridge Philosophical Society.

[2]  F. Hoyle,et al.  On the Mechanism of Accretion by Stars , 1944 .

[3]  H. Bondi,et al.  On spherically symmetrical accretion , 1952 .

[4]  T. A. Matthews,et al.  Red-Shift of the Unusual Radio Source: 3C 48 , 1963, Nature.

[5]  M. Schmidt,et al.  3C 273 : A Star-Like Object with Large Red-Shift , 1963, Nature.

[6]  M. Rees,et al.  Massive black hole binaries in active galactic nuclei , 1980, Nature.

[7]  Andrzej Soƚtan,et al.  Masses of quasars , 1982 .

[8]  D. Meier,et al.  Thick accretion disks - Self-similar, supercritical models , 1982 .

[9]  M. Rees,et al.  How large were the first pregalactic objects , 1984 .

[10]  R. Kennicutt The Star Formation Law in Galactic Disks , 1989 .

[11]  L. Hernquist,et al.  Fueling Starburst Galaxies with Gas-rich Mergers , 1991 .

[12]  J. Monaghan Smoothed particle hydrodynamics , 2005 .

[13]  The soft x-ray properties of a complete sample of optically selected quasars. 1: First results , 1994, astro-ph/9609164.

[14]  D. Weinberg,et al.  Cosmological Simulations with TreeSPH , 1995, astro-ph/9509107.

[15]  L. Hernquist,et al.  Gasdynamics and starbursts in major mergers , 1995, astro-ph/9512099.

[16]  L. Hernquist,et al.  Transformations of Galaxies. II. Gasdynamics in Merging Disk Galaxies: Addendum , 1996 .

[17]  J. Ostriker,et al.  Cooling Flows and Quasars: Different Aspects of the Same Phenomenon? I. Concepts , 1997, astro-ph/9706281.

[18]  Mass function of dormant black holes and the evolution of active galactic nuclei , 1998, astro-ph/9811102.

[19]  Ralf Bender,et al.  The Demography of massive dark objects in galaxy centers , 1997, astro-ph/9708072.

[20]  Jr.,et al.  The Global Schmidt law in star forming galaxies , 1997, astro-ph/9712213.

[21]  I. O. Astronomy,et al.  The distribution of supermassive black holes in the nuclei of nearby galaxies , 1999, astro-ph/9902223.

[22]  A. C. Fabian THE OBSCURED GROWTH OF MASSIVE BLACK HOLES , 1999 .

[23]  P. Panuzzo,et al.  Joint formation of QSOs and spheroids: QSOs as clocks of star formation in spheroids , 1999, astro-ph/9911304.

[24]  A. Ferrara,et al.  Starburst-driven Mass Loss from Dwarf Galaxies: Efficiency and Metal Ejection , 1998, astro-ph/9801237.

[25]  C. Kochanek,et al.  The K-Band Galaxy Luminosity Function , 2000, astro-ph/0011456.

[26]  Laura Ferrarese David Merritt A Fundamental Relation Between Supermassive Black Holes and Their Host Galaxies , 2000, astro-ph/0006053.

[27]  G. Kauffmann,et al.  A unified model for the evolution of galaxies and quasars , 1999, astro-ph/9906493.

[28]  Ralf Bender,et al.  A Relationship between Nuclear Black Hole Mass and Galaxy Velocity Dispersion , 2000, astro-ph/0006289.

[29]  Volker Springel,et al.  Cosmological SPH simulations: The entropy equation , 2001 .

[30]  L. Ciotti,et al.  Cooling Flows and Quasars. II. Detailed Models of Feedback-modulated Accretion Flows , 1999, astro-ph/9912064.

[31]  Michael L. Norman,et al.  The Formation of the First Star in the Universe , 2001, Science.

[32]  V. Springel,et al.  GADGET: a code for collisionless and gasdynamical cosmological simulations , 2000, astro-ph/0003162.

[33]  V. Springel,et al.  Cosmological smoothed particle hydrodynamics simulations: the entropy equation , 2001, astro-ph/0111016.

[34]  Ralf Bender,et al.  THE SLOPE OF THE BLACK HOLE MASS VERSUS VELOCITY DISPERSION CORRELATION , 2002, astro-ph/0203468.

[35]  V. Springel,et al.  An analytical model for the history of cosmic star formation , 2002, astro-ph/0209183.

[36]  S. Tremaine,et al.  Observational constraints on growth of massive black holes , 2002, astro-ph/0203082.

[37]  V. Springel,et al.  Cosmological smoothed particle hydrodynamics simulations: a hybrid multiphase model for star formation , 2002, astro-ph/0206393.

[38]  Caltech,et al.  Long-Term Evolution of Massive Black Hole Binaries , 2002, astro-ph/0212459.

[39]  Edward J. Wollack,et al.  First year Wilkinson Microwave Anisotropy Probe (WMAP) observations: Determination of cosmological parameters , 2003, astro-ph/0302209.

[40]  Self-regulated Growth of Supermassive Black Holes in Galaxies as the Origin of the Optical and X-Ray Luminosity Functions of Quasars , 2003, astro-ph/0304156.

[41]  V. Narayanan,et al.  A Survey of z > 5.7 Quasars in the Sloan Digital Sky Survey. II. Discovery of Three Additional Quasars at z > 6 , 2003, astro-ph/0301135.

[42]  M. SubbaRao,et al.  The Luminosity Function of Morphologically Classified Galaxies in the Sloan Digital Sky Survey , 2002, astro-ph/0212405.

[43]  Takamitsu Miyaji,et al.  Cosmological Evolution of the Hard X-Ray Active Galactic Nucleus Luminosity Function and the Origin of the Hard X-Ray Background , 2003, astro-ph/0308140.

[44]  R. Nichol,et al.  Early-Type Galaxies in the Sloan Digital Sky Survey. I. The Sample , 2003 .

[45]  P. O’Brien,et al.  Evidence of a high-velocity ionized outflow in a second narrow-line quasar PG 0844+349 , 2003, astro-ph/0305571.

[46]  Junichiro Makino,et al.  Evolution of Massive Black Hole Binaries , 2003 .

[47]  M. Vestergaard Early Growth and Efficient Accretion of Massive Black Holes at High Redshift , 2003, astro-ph/0309521.

[48]  Submitted to ApJ Preprint typeset using L ATEX style emulateapj v. 04/03/99 FORMATION OF THE FIRST SUPERMASSIVE BLACK HOLES , 2002 .

[49]  Black hole growth and activity in a Lambda cold dark matter universe , 2003, astro-ph/0301586.

[50]  M. SubbaRao,et al.  The Velocity Dispersion Function of Early-Type Galaxies , 2003, astro-ph/0303092.

[51]  K. L. Page,et al.  A high-velocity ionized outflow and XUV photosphere in the narrow emission line quasar PG1211+143 , 2003 .

[52]  M. Dietrich,et al.  The black hole-bulge relationship in QSOS , 2002, astro-ph/0210050.

[53]  Piero Madau,et al.  The Assembly and Merging History of Supermassive Black Holes in Hierarchical Models of Galaxy Formation , 2002, astro-ph/0207276.

[54]  B. Robertson,et al.  Disk Galaxy Formation in a Λ Cold Dark Matter Universe , 2004, astro-ph/0401252.

[55]  The Role of Gas in the Merging of Massive Black Holes in Galactic Nuclei. I. Black Hole Merging in a Spherical Gas Cloud , 2003, astro-ph/0310851.

[56]  A Physical Model for the Coevolution of QSOs and Their Spheroidal Hosts , 2003, astro-ph/0307202.

[57]  Supermassive black hole demography: the match between the local and accreted mass functions , 2004, astro-ph/0405585.

[58]  T. D. Matteo,et al.  Modelling feedback from stars and black holes in galaxy mergers , 2004, astro-ph/0411108.

[59]  Hans-Walter Rix,et al.  On the Black Hole Mass-Bulge Mass Relation , 2004, astro-ph/0402376.

[60]  A. Marconi,et al.  Local supermassive black holes, relics of active galactic nuclei and the X-ray background , 2003, astro-ph/0311619.

[61]  Andrea Merloni The anti‐hierarchical growth of supermassive black holes , 2004 .

[62]  V. Springel,et al.  Photometric properties of Lyman-break galaxies at z = 3 in cosmological SPH simulations , 2003, astro-ph/0311295.

[63]  Volker Bromm,et al.  The First Stars , 2004 .

[64]  F. Walter,et al.  Radio Continuum Imaging of Far-Infrared-Luminous QSOs at z > 6 , 2004, astro-ph/0406279.

[65]  A Possible correlation between the luminosities and lifetimes of active galactic nuclei , 2005, astro-ph/0505210.

[66]  A Physical Model for the Origin of Quasar Lifetimes , 2005, astro-ph/0502241.

[67]  Volker Springel,et al.  The Many lives of AGN: Cooling flows, black holes and the luminosities and colours of galaxies , 2006, astro-ph/0602065.

[68]  Imaging of sdss z > 6 quasar fields : Gravitational lensing, companion galaxies, and the host dark matter halos , 2005, astro-ph/0503202.

[69]  J. Peacock,et al.  Simulations of the formation, evolution and clustering of galaxies and quasars , 2005, Nature.

[70]  V. Springel,et al.  SUBMITTED TO THE ASTROPHYSICAL JOURNAL LETTERS Preprint typeset using LATEX style emulateapj v. 9/08/03 BLACK HOLES IN GALAXY MERGERS: THE FORMATION OF RED ELLIPTICAL GALAXIES , 2004 .

[71]  V. Springel The Cosmological simulation code GADGET-2 , 2005, astro-ph/0505010.

[72]  First detection of [CII]158 μm at high redshift : vigorous star formation in the early universe , 2005, astro-ph/0508064.

[73]  Active Galactic Nuclei In Cosmological Simulations - I. Formation of black holes and spheroids through mergers , 2005, astro-ph/0509116.

[74]  P. Hopkins,et al.  The Evolution in the Faint-End Slope of the Quasar Luminosity Function , 2005, astro-ph/0508299.

[75]  Carnegie-Mellon,et al.  The Evolution of the M-sigma Relation , 2005, astro-ph/0506038.

[76]  S. Veilleux,et al.  Galactic Winds , 2005, astro-ph/0504435.

[77]  S. Veilleux,et al.  Outflows in Active Galactic Nucleus/Starburst-Composite Ultraluminous Infrared Galaxies , 2005, astro-ph/0507037.

[78]  T. D. Matteo,et al.  Energy input from quasars regulates the growth and activity of black holes and their host galaxies , 2005, Nature.

[79]  The Luminosity Dependence of Quasar Clustering , 2005, astro-ph/0507361.

[80]  G. Hasinger,et al.  Luminosity-dependent evolution of soft X-ray selected AGN : New Chandra and XMM-Newton surveys , 2005, astro-ph/0506118.

[81]  The Black Hole-Bulge Relationship for QSOs at High Redshift , 2005, astro-ph/0512418.

[82]  P. Hopkins,et al.  The Fundamental Scaling Relations of Elliptical Galaxies , 2005, astro-ph/0511053.

[83]  Oxford,et al.  Breaking the hierarchy of galaxy formation , 2005, astro-ph/0511338.

[84]  Marijn Franx,et al.  THE SIZE EVOLUTION OF GALAXIES SINCE Z ∼ 3: COMBINING SDSS, GEMS AND FIRES 1 , 2006 .

[85]  G. Kauffmann,et al.  The many lives of active galactic nuclei: cooling flows, black holes and the luminosities and colour , 2005, astro-ph/0508046.

[86]  R. Thacker,et al.  Quasars: What Turns Them Off? , 2006, astro-ph/0606214.

[87]  Martin J. Rees,et al.  Formation of supermassive black holes by direct collapse in pre-galactic haloes , 2006, astro-ph/0602363.

[88]  Formation of Primordial Stars in a ΛCDM Universe , 2006, astro-ph/0606106.

[89]  T. Treu,et al.  Cosmic Evolution of Black Holes and Spheroids. I. The MBH-σ Relation at z = 0.36 , 2006, astro-ph/0603648.

[90]  S. Driver,et al.  A Log-Quadratic Relation for Predicting Supermassive Black Hole Masses from the Host Bulge Sérsic Index , 2006, astro-ph/0607378.

[91]  Modelling the galaxy bimodality: shutdown above a critical halo mass , 2006, astro-ph/0601295.

[92]  T. Treu,et al.  Cosmic Evolution of Black Holes And Spheroids. 1, the M(BH)-Sigma Relation at Z=0.36 , 2006 .

[93]  F. Fontanot,et al.  The morgana model for the rise of galaxies and active nuclei , 2006, astro-ph/0610805.

[94]  R. Davé,et al.  Galaxy Merger Statistics and Inferred Bulge-to-Disk Ratios in Cosmological SPH Simulations , 2005, astro-ph/0509474.

[95]  Carnegie-Mellon,et al.  A Unified, Merger-driven Model of the Origin of Starbursts, Quasars, the Cosmic X-Ray Background, Supermassive Black Holes, and Galaxy Spheroids , 2005, astro-ph/0506398.

[96]  Fabio Governato,et al.  Forming disc galaxies in ΛCDM simulations , 2006 .

[97]  Fueling Low-Level AGN Activity through Stochastic Accretion of Cold Gas* , 2006, astro-ph/0603180.

[98]  P. Hopkins,et al.  The Kinematic Structure of Merger Remnants , 2006, astro-ph/0607446.

[99]  Quasars at z = 6 : The survival of the fittest , 2006, astro-ph/0607093.

[100]  Probing the Coevolution of Supermassive Black Holes and Galaxies Using Gravitationally Lensed Quasar Hosts , 2006, astro-ph/0603248.

[101]  G. Kauffmann,et al.  The formation history of elliptical galaxies , 2005, astro-ph/0509725.

[102]  V. Springel,et al.  A unified model for AGN feedback in cosmological simulations of structure formation , 2007, 0705.2238.

[103]  G. Richards,et al.  An Observational Determination of the Bolometric Quasar Luminosity Function , 2006, astro-ph/0605678.

[104]  Stanford,et al.  Rapid Formation of Supermassive Black Hole Binaries in Galaxy Mergers with Gas , 2007, Science.

[105]  Formation of z~6 Quasars from Hierarchical Galaxy Mergers , 2006, astro-ph/0608190.

[106]  Black hole growth in hierarchical galaxy formation , 2006, astro-ph/0607424.

[107]  Lars Hernquist,et al.  An Observed Fundamental Plane Relation for Supermassive Black Holes , 2007, 0707.4005.